Least Common Multiple of 42/21, 82/75, 112/63

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/21, 82/75, 112/63 quickly i.e. 4592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/21, 82/75, 112/63 is 4592.

LCM(42/21, 82/75, 112/63) = 4592

LCM of 42/21, 82/75, 112/63

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 42/21,82/75,112/63

Given numbers are 42/21,82/75,112/63

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 42,82,112

Least Common Multiple of Numerators i.e. LCM of 42,82,112 is 13776.

GCF of Denominators means GCF of 21,75,63 as per the given fractions.

GCF of 21,75,63 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,82,112

LCM of Fractions 42/21,82/75,112/63 is 4592

2 42, 82, 112
7 21, 41, 56
3, 41, 8

∴ So the LCM of the given numbers is 2 x 7 x 3 x 41 x 8 = 13776

Least Common Multiple of 42,82,112 with GCF Formula

Least Common Multiple of 42,82,112 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 42,82,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,82,112) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(42,82,112) x common factors =2 x 14 = 28

LCM(42,82,112) = ( 42 × 82 × 112 ) / 28

LCM(42,82,112) = 385728 / 28

LCM(42,82,112) = 13776


Lets's calculate GCF of 21,75,63

3 21, 75, 63
7, 25, 21

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13776/3

Therefore the LCM of Fractions 42/21,82/75,112/63 is 4592

Greatest Common Factor of 21,75,63 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,75,63 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Greatest Common Factor

We found the factors 21,75,63 . The biggest common factor number is the GCF number.
So the greatest common factor 21,75,63 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 42/21, 82/75, 112/63

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 42/21, 82/75, 112/63?

Answer: LCM of Numerators as per given numbers 42/21, 82/75, 112/63 is

LCM of Numerators i.e. for 42,82,112 is 13776

GCF of denominators i.e. for 21,75,63 is 3.

Thus, LCM of Fractions is 4592.Finally, LCM of Fractions for 42/21, 82/75, 112/63 is 4592.